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Finding the Fourth Proportional to 6,397.73, 9,596.60 and 2,015.23

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Solution

The fourth proportional to 6,397.73, 9,596.60 and 2,015.23 is: 3,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.73 : 9,596.60 = 2,015.23 : x
  2. Step 2: Convert to fraction form
    6,397.73/9,596.60 = 2,015.23/x
  3. Step 3: Cross multiply
    6,397.73x = 9,596.60 × 2,015.23
  4. Step 4: Simplify right side
    6,397.73x = 19,339,353.37
  5. Step 5: Solve for x
    x = 19,339,353.37/6,397.73
  6. Step 6: Final answer
    x = 3,022.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.